Answer:
Step-by-step explanation:
The ordered pair is located on the boundary line of the graph of the inequality, and because the sign is "less than or equal to", the values on the boundary line are also included in the solution set.
Looking at this logically, we also see that it certainly possible for half the seats to be occupied by adults and half by children.
The normal form of a line is given by the equation x * cos theta + y * sin theta = p where theta is the angle of the normal line from the positive x-axis and p is the length of the normal line. Converting to normal line form, the equation must first be converted into standard form: 2x + 7y = 4. Then dividing the whole equation by sqrt(a^2 + b^2): sqrt(2^2 + 7^2) = sqrt(53). Hence, the equation becomes 2 / sqrt(53) * x + 7 / sqrt(53) * y = 4 / sqrt(53). Therefore, the length of the normal line is 4 / sqrt(53), and the angle is arctan(7/2) = 74.05 degrees.
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Answer:
(a) -3.708
(b) 1.706
(c) 0.490
Step-by-step explanation:
The z-score of normal distribution is given as:
(a)
Given:
Score is, 
Mean value is, 
Standard deviation is, 
z-score is, 
(b)
Given:
Score is, 
Mean value is,
Standard deviation is,
z-score is, 
(c)
Given:
Score is, 
Mean value is,
Standard deviation is,
z-score is, 
Q: You are shot out of a cannon at the fair. The equation y=-1/5 * (x+2) (x-28) models your flight path, where y is the height above the ground and x is the horizontal distance. Which of the following statements in the comments are true?
a) You reach a maximum height of 45 feet,
b) You will land 11.2 feet from the cannon,
c) The barrel of the cannon is about 11 feet above the ground.
d)At a point 13 feet from the cannon, you begin to descend.
A: When y = 0, x = 28
y’ = 0 at x = 13 where Y is max = 15^2 / 5 = 45
Hence a is true, b is false, c is false, d is false .
Standard form of a polynomial is when all of the terms are put in descending degree order. So 6^2+5x^4 would be written as 5x^4+6^2 since 4 is a higher degree than 2. Like terms are when two monomials either share the same degree or have the same variables. So 6x and 5x would be like terms
